On boundary regularity for the stress in problems of linearized elasto-plasticity

被引:0
|
作者
M. Bulíček
J. Frehse
J. Málek
机构
[1] Mathematical Institute of Charles University,
[2] Institute of Applied Mathematics,undefined
关键词
Unbounded Domain; Dual Formulation; Plasticity Theory; Boundary Regularity; Tangential Derivative;
D O I
10.1007/s12572-010-0001-z
中图分类号
学科分类号
摘要
We investigate regularity properties of the stress tensor near the boundary for models of elasto-plasticity in arbitrary dimension. Focusing on special geometries, namely on balls and infinite strips, we obtain L2-estimates for the tangential derivatives of the stress tensor near the boundary. We indicate why these estimates may fail for more general domains. In addition, we establish L2-estimates for (the trace of) the stress tensor on the boundary.
引用
收藏
页码:141 / 156
页数:15
相关论文
共 50 条
  • [41] A time multiscale decomposition in cyclic elasto-plasticity
    Pasquale, Angelo
    Rodriguez, Sebastian
    Nguyen, Khanh
    Ammar, Amine
    Chinesta, Francisco
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 149 : 75 - 83
  • [42] Identification of rock mass properties in elasto-plasticity
    Deng, DS
    Nguyen-Minh, D
    COMPUTERS AND GEOTECHNICS, 2003, 30 (01) : 27 - 40
  • [43] On the spatial formulation of anisotropic multiplicative elasto-plasticity
    Menzel, A
    Steinmann, P
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (31-32) : 3431 - 3470
  • [44] Finite element methods in couple stress/strain gradient elasto-plasticity theory
    Ji, Bin
    Chen, Wan-Ji
    Wang, Sheng-Jun
    Dalian Ligong Daxue Xuebao/Journal of Dalian University of Technology, 2010, 50 (01): : 9 - 14
  • [45] Modeling large strain anisotropic elasto-plasticity with logarithmic strain and stress measures
    Angel Caminero, Miguel
    Javier Montans, Francisco
    Bathe, Klaus-Juergen
    COMPUTERS & STRUCTURES, 2011, 89 (11-12) : 826 - 843
  • [46] Friction dynamic with elasto-plasticity in transient behavior
    Ruderman, Michael
    Hoffmann, Frank
    Bertram, Torsten
    PROCEEDINGS OF ISMA2010 - INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING INCLUDING USD2010, 2010, : 1245 - 1258
  • [47] Elasto-plasticity in wrinkled polymerized lipid membranes
    Chaieb, Sahraoui
    SCIENTIFIC REPORTS, 2014, 4
  • [48] Elasto-plasticity in wrinkled polymerized lipid membranes
    Sahraoui Chaieb
    Scientific Reports, 4
  • [49] Applications of vector bundle to finite elasto-plasticity
    Cleja-Tigoiu, Sanda
    MATHEMATICS AND MECHANICS OF SOLIDS, 2024, 29 (05) : 854 - 880
  • [50] A discontinuous finite element method for elasto-plasticity
    Hansbo, Peter
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2010, 26 (06) : 780 - 789